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Computational Mechanics
Published in: Computational Mechanics 6/2018

08-03-2018 | Original Paper

Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach

Authors: Nhon Nguyen-Thanh, Weidong Li, Kun Zhou

Published in: Computational Mechanics | Issue 6/2018

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Abstract

This paper develops a coupling approach which integrates the meshfree method and isogeometric analysis (IGA) for static and free-vibration analyses of cracks in thin-shell structures. In this approach, the domain surrounding the cracks is represented by the meshfree method while the rest domain is meshed by IGA. The present approach is capable of preserving geometry exactness and high continuity of IGA. The local refinement is achieved by adding the nodes along the background cells in the meshfree domain. Moreover, the equivalent domain integral technique for three-dimensional problems is derived from the additional Kirchhoff–Love theory to compute the J-integral for the thin-shell model. The proposed approach is able to address the problems involving through-the-thickness cracks without using additional rotational degrees of freedom, which facilitates the enrichment strategy for crack tips. The crack tip enrichment effects and the stress distribution and displacements around the crack tips are investigated. Free vibrations of cracks in thin shells are also analyzed. Numerical examples are presented to demonstrate the accuracy and computational efficiency of the coupling approach.
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Appendix
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Metadata
Title
Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach
Authors
Nhon Nguyen-Thanh
Weidong Li
Kun Zhou
Publication date
08-03-2018
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 6/2018
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1564-y

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